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Finding the Fourth Proportional to 2,277.76, 3,140.49 and 1,490.44

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Solution

The fourth proportional to 2,277.76, 3,140.49 and 1,490.44 is: 2,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.76 : 3,140.49 = 1,490.44 : x
  2. Step 2: Convert to fraction form
    2,277.76/3,140.49 = 1,490.44/x
  3. Step 3: Cross multiply
    2,277.76x = 3,140.49 × 1,490.44
  4. Step 4: Simplify right side
    2,277.76x = 4,680,711.92
  5. Step 5: Solve for x
    x = 4,680,711.92/2,277.76
  6. Step 6: Final answer
    x = 2,054.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.